Dendritic and uniform flux jumps in superconducting films

D. V. Denisov, A. L. Rakhmanov, D. V. Shantsev, Y. M. Galperin, and T. H. Johansen
Phys. Rev. B 73, 014512 – Published 13 January 2006

Abstract

Recent theoretical analysis of spatially-nonuniform modes of the thermomagnetic instability in superconductors [Phys. Rev. B 70, 224502 (2004)] is generalized to the case of a thin film in a perpendicular applied field. We solve the thermal diffusion and Maxwell equations taking into account nonlocal electrodynamics in the film and its thermal coupling to the substrate. The instability is found to develop in a nonuniform, fingering pattern if the background electric field, E, is high and the heat transfer coefficient to the substrate, h0, is small. Otherwise, the instability develops in a uniform manner. We find the threshold magnetic field, Hfing(E,h0), the characteristic finger width, and the instability buildup time. Thin films are found to be much more unstable than bulk superconductors, and have a stronger tendency for formation of fingering (dendritic) pattern.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 7 October 2005
  • Publisher error corrected 15 February 2006

DOI:https://doi.org/10.1103/PhysRevB.73.014512

©2006 American Physical Society

Corrections

15 February 2006

Erratum

Publisher's Note: Dendritic and uniform flux jumps in superconducting films [Phys. Rev. B73, 014512 (2006)]

D. V. Denisov, A. L. Rakhmanov, D. V. Shantsev, Y. M. Galperin, and T. H. Johansen
Phys. Rev. B 73, 069903 (2006)

Authors & Affiliations

D. V. Denisov1,2, A. L. Rakhmanov3, D. V. Shantsev1,2, Y. M. Galperin1,2,4, and T. H. Johansen1,*

  • 1Department of Physics and Center for Advanced Materials and Nanotechnology, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway
  • 2A. F. Ioffe Physico-Technical Institute, Polytekhnicheskaya 26, St. Petersburg 194021, Russia
  • 3Institute for Theoretical and Applied Electrodynamics, Izhorskaya 13/19, Moscow 125412, Russia
  • 4Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA

  • *Electronic address: t.h.johansen@fys.uio.no

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 73, Iss. 1 — 1 January 2006

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×